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Simplifying 0.04x + 0.05(10) = 0.1(x + 20) Multiply 0.05 * 10 0.04x + 0.5 = 0.1(x + 20) Reorder the terms: 0.5 + 0.04x = 0.1(x + 20) Reorder the terms: 0.5 + 0.04x = 0.1(20 + x) 0.5 + 0.04x = (20 * 0.1 + x * 0.1) 0.5 + 0.04x = (2 + 0.1x) Solving 0.5 + 0.04x = 2 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 0.5 + 0.04x + -0.1x = 2 + 0.1x + -0.1x Combine like terms: 0.04x + -0.1x = -0.06x 0.5 + -0.06x = 2 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 0.5 + -0.06x = 2 + 0.0 0.5 + -0.06x = 2 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.06x = 2 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.06x = 2 + -0.5 -0.06x = 2 + -0.5 Combine like terms: 2 + -0.5 = 1.5 -0.06x = 1.5 Divide each side by '-0.06'. x = -25 Simplifying x = -25
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